100474128 has 80 divisors (see below), whose sum is σ = 303601600. Its totient is φ = 31726080.

The previous prime is 100474123. The next prime is 100474133. The reversal of 100474128 is 821474001.

It is an interprime number because it is at equal distance from previous prime (100474123) and next prime (100474133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100474123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088 + ... + 14328.

It is an arithmetic number, because the mean of its divisors is an integer number (3795020).

Almost surely, 2^100474128 is an apocalyptic number.

100474128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100474128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151800800).

100474128 is an abundant number, since it is smaller than the sum of its proper divisors (203127472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100474128 is a wasteful number, since it uses less digits than its factorization.

100474128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12277 (or 12265 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 100474128 is about 10023.6783667474. The cubic root of 100474128 is about 464.8912961301.

The spelling of 100474128 in words is "one hundred million, four hundred seventy-four thousand, one hundred twenty-eight".